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nydimaria [60]
3 years ago
15

What is the unit rate of a 13 ounce of package of pustachios cost $5.99

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0
5.99 ÷13 =0.46
the unit rate is about 0.46 per ounce
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Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2
butalik [34]

The solution of the linear equations will be ( -2, 4).

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are:-

  • 2x +3y = 8 and 3x+y= -2

Solving the equations by elimination method:-

2x +3y = 8

3x+y= -2

Multiply the second equation by 3 and subtract from the first equation.

2x +3y = 8

-9x -3y = 6

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      -7x = 14

         x = -2

Out of the value of x in any one equation, we will get the value of y.

3x+y= -2

3 ( -2) + y = -2

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y = 4

The graph of the equations is also attached with the answer below.

Therefore the solution of the linear equations will be ( -2, 4).

The complete question is given below:-

Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.

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2 years ago
Solve the following equation by using the addition principle. Check the solution.
omeli [17]

Answer:

y = 11/20

Step-by-step explanation:

-4/5 + y = -1/4

Add 4/5 to each side

-4/5  +4/5 + y = -1/4+4/5

y = -1/4 + 4/5

Get a common denominator

y = -1/4 *5/5   + 4/5 *4/4

y = -5/20 + 16/20

y = 11/20

Check

-4/5 +11/20 = -1/4

Get a common denominator

-4/5*4/4 + 11/20 = -1/4*5/5

-16/20 +11/20 = -5/20

-5/20 = - 5/20

Check

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Without using (10), show directly that (10.6^-1)^8=17.6^-8
blagie [28]
We are given the expression:

(17.6^-1)^8 = 17.6 ^ -8

This means that the two terms on each side are equal. We are asked to show how this is possible. 

First, use the rule of exponents. If a term raised to the power of a number x^n and is further raised to the power m: (x^n)^m, to simplify the expression, multiply n and m and this will be your end exponent = x^nm. 

We can apply this rule here:

17.6^-1 ^ 8

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17.6 ^-8. This proves that the left term is equal to the right term. <span />
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